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Finding the Fourth Proportional to 840.54, 1,258.17 and 562.35

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Solution

The fourth proportional to 840.54, 1,258.17 and 562.35 is: 841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,258.17 = 562.35 : x
  2. Step 2: Convert to fraction form
    840.54/1,258.17 = 562.35/x
  3. Step 3: Cross multiply
    840.54x = 1,258.17 × 562.35
  4. Step 4: Simplify right side
    840.54x = 707,531.90
  5. Step 5: Solve for x
    x = 707,531.90/840.54
  6. Step 6: Final answer
    x = 841.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.